Information on Result #1019268
Linear OOA(12847, 699330, F128, 3, 13) (dual of [(699330, 3), 2097943, 14]-NRT-code), using (u, u+v)-construction based on
- linear OOA(12810, 279, F128, 3, 6) (dual of [(279, 3), 827, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(1283, 129, F128, 3, 3) (dual of [(129, 3), 384, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;384,128) [i]
- linear OOA(1287, 150, F128, 3, 6) (dual of [(150, 3), 443, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,443P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- linear OOA(1283, 129, F128, 3, 3) (dual of [(129, 3), 384, 4]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(12837, 699051, F128, 3, 13) (dual of [(699051, 3), 2097116, 14]-NRT-code), using
- OOA 3-folding [i] based on linear OA(12837, 2097153, F128, 13) (dual of [2097153, 2097116, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 2097153 | 1286−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(12837, 2097153, F128, 13) (dual of [2097153, 2097116, 14]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(12847, 349664, F128, 15, 13) (dual of [(349664, 15), 5244913, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |